Asked by vj
uadrilateral RSTU is a rectangle. If m, angle, Z, S, R, equals, 32, degreem∠ZSR=32°, what is m, angle, R, Z, Sm∠RZS?
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m, angle, R, Z, S, equalsm∠RZS=
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116°
Reason: In a rectangle the diagonals meet at their midpoint Z, so RZ = SZ. Triangle RZS is isosceles, so ∠ZSR = ∠SRZ = 32°. Therefore ∠RZS = 180° − 32° − 32° = 116°.
Reason: In a rectangle the diagonals meet at their midpoint Z, so RZ = SZ. Triangle RZS is isosceles, so ∠ZSR = ∠SRZ = 32°. Therefore ∠RZS = 180° − 32° − 32° = 116°.
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